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Finding the Third Proportional to 370,024 and 809,249

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Solution

The third proportional to 370,024 and 809,249 is: 1,769,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,024 : 809,249 = 809,249 : x
  2. Step 2: Convert to fraction form
    370,024/809,249 = 809,249/x
  3. Step 3: Cross multiply
    370,024x = 809,249 × 809,249
  4. Step 4: Simplify right side
    370,024x = 654,883,944,001
  5. Step 5: Solve for x
    x = 654,883,944,001/370,024
  6. Step 6: Final answer
    x = 1,769,841.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.